How many sides has an equiangular polygon if the sum of its exterior angles is equal to the sum of its interior angles?
How many sides has an equiangular polygon if the sum of its exterior angles is equal to the sum of its interior angles?
The sum of the exterior angles of any regular polygon is 360o
Therefore the sum of the interior angles of our polygon is 360o
That makes it a square, which has four sides
I just recognized it when I saw it, but for a difficult problem, we could have used the formula.
The sum of the interior angles of a polygon with 'n' sides is given by the formula: S = (n – 2) • 180o.
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